We look at the division of 343123 by 13 
We're looking to find how many times 13 goes into 343123.

Advancing to step 1:
The number 13 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 13

Going ahead to step 2:
34 divided by 13 is 2 with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we take 26 away from 34, we end up with 8.
Include the next digit (3) from the dividend after 8, then repeat: 83 / 13

Let's proceed to step 3:
The number 13 fits into 83 6 times, leaving a remainder of 5.
Write down 6 as next digit of the result. 
Result so far: 26.0
Deduct 78 from 83 and we're left with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 13

Let's proceed to step 4:
13 can be fit into 51 3 times, resulting in a remainder of 12.
The number 3 becomes the next digit in our result. 
Result so far: 263.0
Subtract 39 from 51 to get 12.
Grab the next digit (2) from the dividend, add it to 12, then carry on: 122 / 13

Advancing to step 5:
When dividing 122 by 13, we get 9 with a remainder of 5.
The next digit of our result is 9. 
Result so far: 2639.0
If we take 117 away from 122, we end up with 5.
Grab the next digit (3) from the dividend, add it to 5, then carry on: 53 / 13

Step 6:
If we divide 53 by 13, we get 4 and a remainder of 1.
Use 4 as the next digit of our solution. 
Result so far: 26394.0
The remainder is 1 after subtracting 52 from 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
10 divided by 13 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 26394.0
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
The number 13 fits into 100 7 times, leaving a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 26394.07
If we subtract 91 from 100, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 9:
When dividing 90 by 13, we get 6 with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 26394.076
Subtracting 78 from 90 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 10:
120 divided by 13 is 9 with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 26394.0769
Deduct 117 from 120 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 11:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 26394.07692
Deduct 26 from 30 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 12:
The number 13 fits into 40 3 times, leaving a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 26394.076923
If we subtract 39 from 40, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 13:
13 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 26394.076923
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 14:
If we divide 100 by 13, we get 7 and a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 26394.07692307
If we subtract 91 from 100, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

The quotient of the division is 26394.07692307, and the remainder is 9e-09.